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Numbered Statements

A sheet of paper has statements numbered from 1 to 20. For all values of n from 1 to 20, statement n says'at most n of the statements on this sheet are false'. Which statments are true and which statements are false?
Asked by: prasan89 | Member Since Dec-2010 | Asked on: Dec 5th, 2010

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lavanya.rjs

Answered On : Jan 4th, 2011

View all answers by lavanya.rjs

 statement 19: nineteeen statements are false.   - true.
 statements 1-18&20:       -  false

check:
         
          19th statement says that nineteen statements are false. If it is true then remaining statements left are nineteen which must be false.


          hence one statement (i.e. 19th) is true.
                    nineteen  statements are false.

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